Finite Group Databasebeta

← #17207025

Subgroups — #17207025

Order 4352.

2878 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763403C211yesmaximal, characteristic, complemented
2C22×D4×Dic17C211yesmaximal, characteristic, complemented
3#14537101C211yesmaximal, characteristic, complemented
4#14537090C211yesmaximal, characteristic, complemented
5#14537078C211yesmaximal, characteristic, complemented
6#14537069C211yesmaximal, characteristic, complemented
7#14534700C211yesmaximal, characteristic, complemented
8#14534680C211yesmaximal, characteristic, complemented
9#14534651C211yesmaximal, characteristic, complemented
10#14534622C211yesmaximal, characteristic, complemented
11#14533029C211yesmaximal, characteristic, complemented
12#14532924C211yesmaximal, characteristic, complemented
13#14532815C211yesmaximal, characteristic, complemented
14#14532776C211yesmaximal, characteristic, complemented
15#14532731C211yesmaximal, characteristic, complemented
16#14532662C211yesmaximal, characteristic, complemented
17#14532599C211yesmaximal, characteristic, complemented
18#14532591C211yesmaximal, characteristic, complemented
19#14532517C211yesmaximal, characteristic, complemented
20#14532450C211yesmaximal, characteristic, complemented
21#14532339C211yesmaximal, characteristic, complemented
22#14532257C211yesmaximal, characteristic, complemented
23#14532250C211yesmaximal, characteristic, complemented
24#14532180C211yesmaximal, characteristic, complemented
25#14532158C211yesmaximal, characteristic
26#14531485C211yesmaximal, characteristic, complemented
27#14531456C211yesmaximal, characteristic, complemented
28#14531410C211yesmaximal, characteristic, complemented
29#14531283C211yesmaximal, characteristic, complemented
30C2×#11762684C211yesmaximal, characteristic, complemented
31C17×#2405C211yesmaximal, characteristic, complemented
32C24×Dic17C2211yescharacteristic
33C24×Dic17C2211yescharacteristic
34#11763403—28no—
35C2×#10587584C2211yescharacteristic, complemented
36C2×#10587565C2211yescharacteristic, complemented
37C2×#10587576C2211yescharacteristic, complemented
38C2×#10587575C2211yescharacteristic, complemented
39C2×#10587572C2211yescharacteristic, complemented
40C2×#10587572C2211yescharacteristic, complemented
41C2×#10587615C2211yescharacteristic, complemented
42C2×#10587569C2211yescharacteristic, complemented
43C2×#10587583C2211yescharacteristic, complemented
44C2×#10587564C2211yescharacteristic
45C2×#10587564C2211yescharacteristic, complemented
46C2×#10587564C2211yescharacteristic, complemented
47C2×#10587564C2211yescharacteristic, complemented
48C2×#10587625C2211yescharacteristic
49C2×#10587625C2211yescharacteristic
50C2×#10587639C2211yescharacteristic
51C2×#10587639C2211yescharacteristic
52C2×D4×Dic17—28no—
53C2×D4×Dic17C2211yescharacteristic
54C2×D4×Dic17C2211yescharacteristic
55C2×D4×Dic17C2211yescharacteristic
56C2×D4×Dic17C2211yescharacteristic
57C2×D4×Dic17C2211yescharacteristic
58C2×D4×Dic17C2211yescharacteristic
59C2×D4×Dic17C2211yescharacteristic
60C2×D4×Dic17C2211yescharacteristic
61C2×#10587567C2211yescharacteristic
62C2×#10587567C2211yescharacteristic, complemented
63C2×#10587567C2211yescharacteristic, complemented
64C22×C4⋊Dic17C2211yescharacteristic
65C22×C4⋊Dic17C2211yescharacteristic, complemented
66C22×C4⋊Dic17C2211yescharacteristic, complemented
67C22×C22⋊Dic17C2211yescharacteristic
68C22×C22⋊Dic17C2211yescharacteristic
69C22×C22⋊Dic17C2211yescharacteristic
70C22×C4×Dic17C2211yescharacteristic
71#11762748C2211yescharacteristic, complemented
72#11762746C2211yescharacteristic, complemented
73#11762745C2211yescharacteristic, complemented
74#11762745C2211yescharacteristic, complemented
75#11762742C2211yescharacteristic, complemented
76#11762741C2211yescharacteristic, complemented
77#11762741C2211yescharacteristic, complemented
78#11762739C2211yescharacteristic, complemented
79#11762737C2211yescharacteristic, complemented
80#11762737C2211yescharacteristic, complemented
81#11762737C2211yescharacteristic, complemented
82#11762737C2211yescharacteristic, complemented
83#11762737C2211yescharacteristic, complemented
84#11762734C2211yescharacteristic, complemented
85#11762732C2211yescharacteristic, complemented
86#11762732C2211yescharacteristic, complemented
87#11762732C2211yescharacteristic, complemented
88#11762731C2211yescharacteristic, complemented
89#11762730C2211yescharacteristic, complemented
90#11762725C2211yescharacteristic, complemented
91#11762724C2211yescharacteristic, complemented
92#11762724C2211yescharacteristic, complemented
93#11762724C2211yescharacteristic, complemented
94#11762723C2211yescharacteristic
95#11762723C2211yescharacteristic
96#11762721C2211yescharacteristic, complemented
97#11762717C2211yescharacteristic
98#11762717C2211yescharacteristic
99#11762708C2211yescharacteristic, complemented
100#11762708C2211yescharacteristic, complemented
101#11762706C2211yescharacteristic, complemented
102#11762704C2211yescharacteristic, complemented
103#11762703C2211yescharacteristic, complemented
104#11762703C2211yescharacteristic, complemented
105#11762702C2211yescharacteristic, complemented
106#11762702C2211yescharacteristic, complemented
107#11762701C2211yescharacteristic, complemented
108#11762699C2211yescharacteristic, complemented
109#11762698C2211yescharacteristic, complemented
110#11762697C2211yescharacteristic, complemented
111#11762696C2211yescharacteristic, complemented
112#11762695C2211yescharacteristic, complemented
113#11762695C2211yescharacteristic, complemented
114#11762694C2211yescharacteristic, complemented
115#11762694C2211yescharacteristic, complemented
116#11762692C2211yescharacteristic, complemented
117#11762692C2211yescharacteristic, complemented
118#11762691C2211yescharacteristic, complemented
119#11762690C2211yescharacteristic, complemented
120#11762690C2211yescharacteristic, complemented
121#11762689C2211yescharacteristic
122#11762689C2211yescharacteristic
123#11762688C2211yescharacteristic
124#11762688C2211yescharacteristic, complemented
125#11762686C2211yescharacteristic
126#11762686C2211yescharacteristic
127#11762686C2211yescharacteristic
128#11762686C2211yescharacteristic, complemented
129#11762686C2211yescharacteristic, complemented
130#11762686C2211yescharacteristic, complemented
131#11762686C2211yescharacteristic, complemented
132#11762685C2211yescharacteristic, complemented
133#11762684C2211yescharacteristic
134#11762684C2211yescharacteristic
135#11762684C2211yescharacteristic
136#11762684C2211yescharacteristic
137#11762684C2211yescharacteristic
138#11762684C2211yescharacteristic, complemented
139#11762684C2211yescharacteristic, complemented
140#11762684C2211yescharacteristic, complemented
141#11762684C2211yescharacteristic, complemented
142#11762684C2211yescharacteristic, complemented
143#11762684C2211yescharacteristic, complemented
144#11762684C2211yescharacteristic, complemented
145#11762684C2211yescharacteristic, complemented
146#11762684C2211yescharacteristic, complemented
147#11762683C2211yescharacteristic, complemented
148#11762682C2211yescharacteristic
149#11762682C2211yescharacteristic, complemented
150#11762681C2211yescharacteristic
151#11762681C2211yescharacteristic
152#11762681C2211yescharacteristic, complemented
153#11762681C2211yescharacteristic, complemented
154#11762681C2211yescharacteristic, complemented
155#11762681C2211yescharacteristic, complemented
156#11762681C2211yescharacteristic, complemented
157#11762676C2211yescharacteristic, complemented
158#11762673C2211yescharacteristic, complemented
159#11762672C2211yescharacteristic, complemented
160#11762670C2211yescharacteristic, complemented
161#11762670C2211yescharacteristic, complemented
162#11762667C2211yescharacteristic
163#11762667C2211yescharacteristic
164#11762667C2211yescharacteristic
165#11762667C2211yescharacteristic, complemented
166#11762667C2211yescharacteristic, complemented
167#11762667C2211yescharacteristic, complemented
168#11762665C2211yescharacteristic
169C22⋊C4×Dic17C2211yescharacteristic
170C22⋊C4×Dic17C2211yescharacteristic, complemented
171C22⋊C4×Dic17C2211yescharacteristic, complemented
172C2×#10587502C2211yescharacteristic, complemented
173C2×#10587502C2211yescharacteristic, complemented
174C23×D4×C17C2211yescharacteristic
175C2×C17×#123C2211yescharacteristic
176C2×C17×#123C2211yescharacteristic
177C22×C22⋊C4×C17C2211yescharacteristic
178C17×#394C2211yescharacteristic
179C17×#394C2211yescharacteristic
180C17×#394C2211yescharacteristic
181C17×#394C2211yescharacteristic
182C17×#386C2211yescharacteristic
183C17×#386C2211yescharacteristic
184C17×#385C2211yescharacteristic
185C17×#385C2211yescharacteristic
186C17×#379C2211yescharacteristic
187C17×#379C2211yescharacteristic
188C17×#379C2211yescharacteristic
189C25×C17C2311yescharacteristic
190C25×C17C2311yescharacteristic
191C22×D4×C17—24no—
192C22×D4×C17—24no—
193C22×D4×C17—24no—
194C22×D4×C17C2311yescharacteristic
195C22×D4×C17C2311yescharacteristic
196C22×D4×C17C2311yescharacteristic
197C22×D4×C17C2311yescharacteristic
198C23×C4×C17C2311yescharacteristic
199C23×C4×C17C2311yescharacteristic
200C23×C4×C17C2311yescharacteristic
201C22×C22⋊D17C2311yescharacteristic
202C22×C22⋊D17C2311yescharacteristic
203C22×C22⋊D17C2311yescharacteristic
204C22×C22⋊D17C2311yescharacteristic
205C22×C22⋊D17C2311yescharacteristic
206C23×Dic17—24no—
207C23×Dic17—24no—
208C23×Dic17—42no—
209C23×Dic17—42no—
210C23×Dic17—42no—
211C23×Dic17—42no—
212C23×Dic17C2311yescharacteristic
213C23×Dic17C2311yescharacteristic
214C23×Dic17C2311yescharacteristic
215C23×Dic17C2311yescharacteristic
216C23×Dic17C2311yescharacteristic
217C23×Dic17C2311yescharacteristic
218C23×Dic17C2311yescharacteristic
219C23×Dic17C2311yescharacteristic
220C23×Dic17C2311yescharacteristic
221C23×Dic17C2311yescharacteristic
222C23×Dic17C2311yescharacteristic
223C23×Dic17C2311yescharacteristic
224C23×Dic17C2311yescharacteristic
225C23×Dic17C2311yescharacteristic
226C22×C4×D17C2311yescharacteristic
227C22×Dic34C2311yescharacteristic
228C17×#123—24no—
229C17×#123—24no—
230C2×C4⋊C4×C17C2311yescharacteristic
231C2×C4⋊C4×C17C2311yescharacteristic
232C2×C4⋊C4×C17C2311yescharacteristic
233C2×C4⋊C4×C17C2311yescharacteristic
234C2×C22⋊C4×C17—24no—
235C2×C22⋊C4×C17C2311yescharacteristic
236C2×C22⋊C4×C17C2311yescharacteristic
237C2×C22⋊C4×C17C2311yescharacteristic
238C2×C22⋊C4×C17C2311yescharacteristic
239C2×C22⋊C4×C17C2311yescharacteristic
240C2×C22⋊C4×C17C2311yescharacteristic
241C2×C22⋊C4×C17C2311yescharacteristic
242C2×C22⋊C4×C17C2311yescharacteristic
243C2×C22⋊C4×C17C2311yescharacteristic
244C2×C22⋊C4×C17C2311yescharacteristic
245C2×C22⋊C4×C17C2311yescharacteristic
246C2×C22⋊C4×C17C2311yescharacteristic
247C2×C22⋊C4×C17C2311yescharacteristic
248C2×C22⋊C4×C17C2311yescharacteristic
249C2×C22⋊C4×C17C2311yescharacteristic
250C2×C22⋊C4×C17C2311yescharacteristic
251C2×C22⋊C4×C17C2311yescharacteristic
252C2×C22⋊C4×C17C2311yescharacteristic
253#10587639—24no—
254#10587639—42no—
255C2×C22⋊Dic17—24no—
256C2×C22⋊Dic17—24no—
257C2×C22⋊Dic17—42no—
258C2×C22⋊Dic17C2311yescharacteristic
259C2×C22⋊Dic17C2311yescharacteristic
260C2×C22⋊Dic17C2311yescharacteristic
261C2×C22⋊Dic17C2311yescharacteristic
262C2×C22⋊Dic17C2311yescharacteristic
263C2×C22⋊Dic17C2311yescharacteristic
264C2×C22⋊Dic17C2311yescharacteristic
265C2×C22⋊Dic17C2311yescharacteristic
266C2×C22⋊Dic17C2311yescharacteristic
267C2×C22⋊Dic17C2311yescharacteristic
268C2×C22⋊Dic17C2311yescharacteristic
269C2×C22⋊Dic17C2311yescharacteristic
270C2×C22⋊Dic17C2311yescharacteristic
271C2×C22⋊Dic17C2311yescharacteristic
272C2×C22⋊Dic17C2311yescharacteristic
273C2×C22⋊Dic17C2311yescharacteristic
274C2×C22⋊Dic17C2311yescharacteristic
275C2×C22⋊Dic17C2311yescharacteristic
276C2×C22⋊Dic17C2311yescharacteristic
277C2×C22⋊Dic17C2311yescharacteristic
278C2×C22⋊Dic17C2311yescharacteristic
279#10587625—24no—
280#10587625—24no—
281D4×Dic17—24no—
282D4×Dic17—24no—
283D4×Dic17—24no—
284D4×Dic17—24no—
285D4×Dic17—24no—
286D4×Dic17—24no—
287D4×Dic17—24no—
288D4×Dic17D418yescomplemented
289#10587615—24no—
290C2×#63227C2311yescharacteristic
291C2×#63227C2311yescharacteristic
292C2×#63227C2311yescharacteristic
293C2×#63227C2311yescharacteristic
294C2×#63227C2311yescharacteristic
295C2×#63227C2311yescharacteristic
296C2×#63227C2311yescharacteristic
297C2×#63227C2311yescharacteristic
298C2×#63227C2311yescharacteristic
299C2×C4⋊Dic17—24no—
300C2×C4⋊Dic17—24no—
301C2×C4⋊Dic17—42no—
302C2×C4⋊Dic17C2311yescharacteristic
303C2×C4⋊Dic17C2311yescharacteristic
304C2×C4⋊Dic17C2311yescharacteristic
305C2×C4⋊Dic17C2311yescharacteristic
306C2×C4⋊Dic17C2311yescharacteristic
307C2×C4⋊Dic17C2311yescharacteristic
308C2×C4⋊Dic17C2311yescharacteristic
309C2×C4⋊Dic17C2311yescharacteristic
310C2×C4⋊Dic17C2311yescharacteristic
311C2×C4⋊Dic17C2311yescharacteristic
312C2×C4⋊Dic17C2311yescharacteristic
313C2×C4⋊Dic17C2311yescharacteristic
314C2×C4⋊Dic17C2311yescharacteristic
315C2×C4⋊Dic17C2311yescharacteristic
316C2×C4⋊Dic17C2311yescharacteristic
317C2×#63225C2311yescharacteristic
318C2×#63225C2311yescharacteristic
319C2×#63225C2311yescharacteristic
320C2×#63225C2311yescharacteristic
321C2×#63225C2311yescharacteristic
322C2×#63225C2311yescharacteristic
323C2×#63225C2311yescharacteristic
324C2×#63225C2311yescharacteristic
325C2×#63225C2311yescharacteristic
326C2×#63225C2311yescharacteristic
327C2×#63225C2311yescharacteristic
328C2×#63225C2311yescharacteristic
329C2×#63225C2311yescharacteristic
330C2×#63225C2311yescharacteristic
331C2×#63225C2311yescharacteristic
332C2×C4×Dic17—24no—
333C2×C4×Dic17C2311yescharacteristic
334C2×C4×Dic17C2311yescharacteristic
335C2×C4×Dic17C2311yescharacteristic
336C2×C4×Dic17C2311yescharacteristic
337C2×C4×Dic17C2311yescharacteristic
338C2×C4×Dic17C2311yescharacteristic
339C2×C4×Dic17C2311yescharacteristic
340#10587584—24no—
341#10587583—24no—
342#10587576—24no—
343#10587575—24no—
344#10587572—24no—
345#10587572—42no—
346#10587569—24no—
347#10587567—24no—
348#10587567—42no—
349#10587567—42no—
350#10587565—24no—
351#10587564—24no—
352#10587564—24no—
353#10587564—42no—
354#10587564—42no—
355C17×#95C2311yescharacteristic
356C17×#95C2311yescharacteristic
357C17×#95C2311yescharacteristic
358C17×#95C2311yescharacteristic
359#10587502C2311yescharacteristic
360#10587502C2311yescharacteristic
361#10587502C2311yescharacteristic
362#10587502C2311yescharacteristic
363#10587502C2311yescharacteristic
364#10587502C2311yescharacteristic
365#10587502C2311yescharacteristic
366#10587502C2311yescharacteristic
367#10587502C2311yescharacteristic
368#10587502C2311yescharacteristic
369#10587502C2311yescharacteristic
370#10587502C2311yescharacteristic
371#10587502C2311yescharacteristic
372#10587502C2311yescharacteristic
373#10587502C2311yescharacteristic
374#10587502C2311yescharacteristic
375#10587502C2311yescharacteristic
376#10587502C2311yescharacteristic
377#10587502C2311yescharacteristic
378#10587502C2311yescharacteristic
379#10587502C2311yescharacteristic
380#10587502C2311yescharacteristic
381#10587502C2311yescharacteristic
382#10587502C2311yescharacteristic
383#10587502C2311yescharacteristic
384#10587502C2311yescharacteristic
385#10587502C2311yescharacteristic
386#10587502C2311yescharacteristic
387#10587502C2311yescharacteristic
388#10587502C2311yescharacteristic
389#10587502C2311yescharacteristic
390#10587502C2311yescharacteristic
391C24×C17—22no—
392C24×C17—22no—
393C24×C17—22no—
394C24×C17—22no—
395C24×C17—22no—
396C24×C17—22no—
397C24×C17—22no—
398C24×C17—22no—
399C24×C17—22no—
400C24×C17—41no—
401C24×C17—41no—
402C24×C17—41no—
403C24×C17—41no—
404C24×C17#4114yes—
405C24×C17C2411yescharacteristic
406C24×C17C2411yescharacteristic
407C24×C17C2411yescharacteristic
408C24×C17C2411yescharacteristic
409C24×C17C2411yescharacteristic
410C23×D17C2411yescharacteristic
411C2×D4×C17—232no—
412C2×D4×C17—22no—
413C2×D4×C17—22no—
414C2×D4×C17—22no—
415C2×D4×C17—22no—
416C2×D4×C17—22no—
417C2×D4×C17—22no—
418C2×D4×C17—22no—
419C2×D4×C17—22no—
420C2×D4×C17—22no—
421C2×D4×C17—22no—
422C2×D4×C17C2×D414yes—
423C2×D4×C17#4114yes—
424C22×C4×C17—22no—
425C22×C4×C17—22no—
426C22×C4×C17—22no—
427C22×C4×C17—22no—
428C22×C4×C17—22no—
429C22×C4×C17—22no—
430C22×C4×C17—22no—
431C22×C4×C17—41no—
432C22×C4×C17—41no—
433C22×C4×C17C2411yescharacteristic
434C22×C4×C17C2411yescharacteristic
435C22×C4×C17C2411yescharacteristic
436C22×C4×C17C2411yescharacteristic
437C22×C4×C17C2411yescharacteristic
438C22×C4×C17C2411yescharacteristic
439C22×C4×C17C2411yescharacteristic
440C22×C4×C17C2411yescharacteristic
441C22×C4×C17C2411yescharacteristic
442C22×C4×C17C2411yescharacteristic
443C2×C22⋊D17—22no—
444C2×C22⋊D17—22no—
445C2×C22⋊D17—22no—
446C2×C22⋊D17—22no—
447C2×C22⋊D17—22no—
448C2×C22⋊D17—22no—
449C2×C22⋊D17—22no—
450C2×C22⋊D17—22no—
451C2×C22⋊D17—22no—
452C2×C22⋊D17—41no—
453C2×C22⋊D17—41no—
454C2×C22⋊D17—41no—
455C2×C22⋊D17—41no—
456C2×C22⋊D17—41no—
457C2×C22⋊D17—41no—
458C22×Dic17—22no—
459C22×Dic17—22no—
460C22×Dic17—22no—
461C22×Dic17—22no—
462C22×Dic17—22no—
463C22×Dic17—22no—
464C22×Dic17—22no—
465C22×Dic17—22no—
466C22×Dic17—22no—
467C22×Dic17—22no—
468C22×Dic17—22no—
469C22×Dic17—22no—
470C22×Dic17—22no—
471C22×Dic17—22no—
472C22×Dic17—22no—
473C22×Dic17—22no—
474C22×Dic17—22no—
475C22×Dic17—22no—
476C22×Dic17—22no—
477C22×Dic17—22no—
478C22×Dic17—22no—
479C22×Dic17—41no—
480C22×Dic17—41no—
481C22×Dic17—41no—
482C22×Dic17—41no—
483C22×Dic17—41no—
484C22×Dic17—41no—
485C22×Dic17—41no—
486C22×Dic17—41no—
487C22×Dic17—41no—
488C22×Dic17—41no—
489C22×Dic17—41no—
490C22×Dic17—41no—
491C22×Dic17—41no—
492C22×Dic17—41no—
493C22×Dic17—41no—
494C22×Dic17—41no—
495C22×Dic17—41no—
496C22×Dic17—41no—
497C22×Dic17—41no—
498C22×Dic17—416no—
499C22×Dic17—416no—
500C22×Dic17C2×D414yes—
501C22×Dic17C2×D414yes—
502C22×Dic17C2411yescharacteristic
503C22×Dic17C2411yescharacteristic
504C22×Dic17C2411yescharacteristic
505C22×Dic17C2411yescharacteristic
506C22×Dic17C2411yescharacteristic
507C22×Dic17C2411yescharacteristic
508C22×Dic17C2411yescharacteristic
509C22×Dic17C2411yescharacteristic
510C22×Dic17C2411yescharacteristic
511C22×Dic17C2411yescharacteristic
512C22×Dic17C2411yescharacteristic
513C22×Dic17C2411yescharacteristic
514C22×Dic17C2411yescharacteristic
515C22×Dic17C2411yescharacteristic
516C22×Dic17C2411yescharacteristic
517C2×C4×D17—22no—
518C2×C4×D17—41no—
519C2×C4×D17—41no—
520C2×Dic34—22no—
521C2×Dic34—41no—
522C2×Dic34—41no—
523C4⋊C4×C17—22no—
524C4⋊C4×C17—22no—
525C4⋊C4×C17—22no—
526C4⋊C4×C17—22no—
527C22⋊C4×C17—22no—
528C22⋊C4×C17—22no—
529C22⋊C4×C17—22no—
530C22⋊C4×C17—22no—
531C22⋊C4×C17—22no—
532C22⋊C4×C17—22no—
533C22⋊C4×C17—22no—
534C22⋊C4×C17—22no—
535C22⋊C4×C17—22no—
536C22⋊C4×C17—22no—
537C22⋊C4×C17—22no—
538C22⋊C4×C17—22no—
539C22⋊C4×C17—41no—
540C22⋊C4×C17—41no—
541C22⋊C4×C17—41no—
542C22⋊C4×C17—41no—
543C22⋊C4×C17—41no—
544C22⋊C4×C17—41no—
545C22⋊Dic17—22no—
546C22⋊Dic17—22no—
547C22⋊Dic17—22no—
548C22⋊Dic17—22no—
549C22⋊Dic17—22no—
550C22⋊Dic17—22no—
551C22⋊Dic17—22no—
552C22⋊Dic17—22no—
553C22⋊Dic17—22no—
554C22⋊Dic17—22no—
555C22⋊Dic17—22no—
556C22⋊Dic17—22no—
557C22⋊Dic17—22no—
558C22⋊Dic17—41no—
559C22⋊Dic17—41no—
560C22⋊Dic17—41no—
561C22⋊Dic17—41no—
562C22⋊Dic17—41no—
563C22⋊Dic17—41no—
564C22⋊Dic17C2×D414yes—
565C22⋊Dic17C2×D414yes—
566#63227—22no—
567#63227—22no—
568#63227—22no—
569#63227—22no—
570#63227—22no—
571#63227—22no—
572#63227—41no—
573#63227—41no—
574#63227—41no—
575C4⋊Dic17—22no—
576C4⋊Dic17—22no—
577C4⋊Dic17—22no—
578C4⋊Dic17—22no—
579C4⋊Dic17—22no—
580C4⋊Dic17—22no—
581C4⋊Dic17—22no—
582C4⋊Dic17—22no—
583C4⋊Dic17—22no—
584C4⋊Dic17—22no—
585C4⋊Dic17—41no—
586C4⋊Dic17—41no—
587C4⋊Dic17—41no—
588C4⋊Dic17—41no—
589C4⋊Dic17C2×D414yes—
590#63225—22no—
591#63225—22no—
592#63225—22no—
593#63225—22no—
594#63225—22no—
595#63225—22no—
596#63225—22no—
597#63225—22no—
598#63225—41no—
599#63225—41no—
600#63225—41no—
601#63225—41no—
602#63225—41no—
603#63225—41no—
604#63225—41no—
605C4×Dic17—22no—
606C4×Dic17—22no—
607C4×Dic17—22no—
608C4×Dic17—22no—
609C4×Dic17—41no—
610C4×Dic17—41no—
611C4×Dic17C2×D414yes—
612#34991—171nomaximal, Sylow
613C23×C17—21no—
614C23×C17—21no—
615C23×C17—21no—
616C23×C17—21no—
617C23×C17—21no—
618C23×C17—21no—
619C23×C17—21no—
620C23×C17—21no—
621C23×C17—28no—
622C23×C17—28no—
623C23×C17—28no—
624C23×C17—21no—
625C23×C17—21no—
626C23×C17—21no—
627C23×C17—21no—
628C23×C17—21no—
629C23×C17—21no—
630C23×C17—21no—
631C23×C17—21no—
632C23×C17—21no—
633C23×C17—21no—
634C23×C17—21no—
635C23×C17—21no—
636C23×C17—21no—
637C23×C17—21no—
638C23×C17—21no—
639C23×C17—21no—
640C23×C17—21no—
641C23×C17—21no—
642C23×C17—44no—
643C23×C17—44no—
644C23×C17—44no—
645C23×C17—44no—
646C23×C17—44no—
647C23×C17—44no—
648C23×C17—44no—
649C23×C17—44no—
650C23×C17—44no—
651C23×C17—44no—
652C23×C17—44no—
653C23×C17C22×D412yes—
654C23×C17C22×D412yes—
655C23×C17C2×#4112yes—
656C23×C17C2×#4112yes—
657C23×C17C2×#4112yes—
658C23×C17C2×#4112yes—
659C23×C17C2×#4112yes—
660C23×C17H(5,𝔽2)12yes—
661C23×C172−1+412yes—
662C23×C17C2511yescharacteristic
663C22×D17—21no—
664C22×D17—21no—
665C22×D17—21no—
666C22×D17—21no—
667C22×D17—21no—
668C22×D17—21no—
669C22×D17—21no—
670D4×C17—28no—
671D4×C17—28no—
672D4×C17—28no—
673D4×C17—28no—
674C2×C4×C17—28no—
675C2×C4×C17—21no—
676C2×C4×C17—21no—
677C2×C4×C17—21no—
678C2×C4×C17—21no—
679C2×C4×C17—21no—
680C2×C4×C17—21no—
681C2×C4×C17—21no—
682C2×C4×C17—21no—
683C2×C4×C17—21no—
684C2×C4×C17—21no—
685C2×C4×C17—21no—
686C2×C4×C17—21no—
687C2×C4×C17—21no—
688C2×C4×C17—21no—
689C2×C4×C17—21no—
690C2×C4×C17—21no—
691C2×C4×C17—21no—
692C2×C4×C17—21no—
693C2×C4×C17—21no—
694C2×C4×C17—21no—
695C2×C4×C17—21no—
696C2×C4×C17—21no—
697C2×C4×C17—21no—
698C2×C4×C17—21no—
699C2×C4×C17—21no—
700C2×C4×C17—21no—
701C2×C4×C17—21no—
702C2×C4×C17—21no—
703C2×C4×C17—44no—
704C2×C4×C17—44no—
705C2×C4×C17C22×D412yes—
706C2×C4×C17C2×#4112yes—
707C22⋊D17—44no—
708C22⋊D17—44no—
709C22⋊D17—44no—
710C22⋊D17—82no—
711C22⋊D17—82no—
712C2×Dic17—28no—
713C2×Dic17—21no—
714C2×Dic17—21no—
715C2×Dic17—21no—
716C2×Dic17—21no—
717C2×Dic17—21no—
718C2×Dic17—21no—
719C2×Dic17—21no—
720C2×Dic17—21no—
721C2×Dic17—21no—
722C2×Dic17—21no—
723C2×Dic17—21no—
724C2×Dic17—21no—
725C2×Dic17—21no—
726C2×Dic17—21no—
727C2×Dic17—21no—
728C2×Dic17—21no—
729C2×Dic17—21no—
730C2×Dic17—21no—
731C2×Dic17—21no—
732C2×Dic17—21no—
733C2×Dic17—21no—
734C2×Dic17—21no—
735C2×Dic17—21no—
736C2×Dic17—21no—
737C2×Dic17—21no—
738C2×Dic17—21no—
739C2×Dic17—21no—
740C2×Dic17—21no—
741C2×Dic17—21no—
742C2×Dic17—21no—
743C2×Dic17—21no—
744C2×Dic17—21no—
745C2×Dic17—21no—
746C2×Dic17—21no—
747C2×Dic17—21no—
748C2×Dic17—21no—
749C2×Dic17—21no—
750C2×Dic17—21no—
751C2×Dic17—21no—
752C2×Dic17—21no—
753C2×Dic17—44no—
754C2×Dic17—44no—
755C2×Dic17—44no—
756C2×Dic17—44no—
757C2×Dic17—44no—
758C2×Dic17—44no—
759C2×Dic17—44no—
760C2×Dic17—44no—
761C2×Dic17—44no—
762C2×Dic17—44no—
763C2×Dic17—44no—
764C2×Dic17—82no—
765C2×Dic17—82no—
766C2×Dic17C22×D412yes—
767C2×Dic17C22×D412yes—
768C2×Dic17C22×D412yes—
769C2×Dic17C22×D412yes—
770C2×Dic17H(5,𝔽2)12yes—
771C4×D17—82no—
772Dic34—82no—
773C2×#539—171no—
774C22×C4×D4—171no—
775#2852—171no—
776#2851—171no—
777#2849—171no—
778#2848—171no—
779#2638—171no—
780#2636—171no—
781#2633—171no—
782#2630—171no—
783#2480—171no—
784#2473—171no—
785#2466—171no—
786#2463—171no—
787#2460—171no—
788#2455—171no—
789#2449—171no—
790#2449—171no—
791#2443—171no—
792#2437—171no—
793#2425—171no—
794#2419—171no—
795#2418—171no—
796#2412—171no—
797#2410—171no—
798#2405D1711yescharacteristic, complemented
799#2325—171no—
800#2322—171no—
801#2318—171no—
802C4×#120—171no—
803C2×#385—171no—
804C22×C17—22no—
805C22×C17—22no—
806C22×C17—22no—
807C22×C17—22no—
808C22×C17—22no—
809C22×C17—22no—
810C22×C17—22no—
811C22×C17—22no—
812C22×C17—22no—
813C22×C17—22no—
814C22×C17—22no—
815C22×C17—22no—
816C22×C17—22no—
817C22×C17—22no—
818C22×C17—22no—
819C22×C17—22no—
820C22×C17—22no—
821C22×C17—22no—
822C22×C17—22no—
823C22×C17—22no—
824C22×C17—22no—
825C22×C17—416no—
826C22×C17—416no—
827C22×C17—41no—
828C22×C17—41no—
829C22×C17—41no—
830C22×C17—41no—
831C22×C17—41no—
832C22×C17—41no—
833C22×C17—41no—
834C22×C17—41no—
835C22×C17—41no—
836C22×C17—41no—
837C22×C17—41no—
838C22×C17—41no—
839C22×C17#52514yes—
840C22×C17#53914yescomplemented
841C22×C17C23×D411yescharacteristic
842C22×C17C22×#4111yescharacteristic
843C22×C17C22×#4111yescharacteristic
844C22×C17C2×H(5,𝔽2)11yescharacteristic
845C22×C17C2×H(5,𝔽2)11yescharacteristic
846C22×C17C2×2−1+411yescharacteristic
847C22×C17#58511yescharacteristic
848C2×D17—41no—
849C2×D17—41no—
850C2×D17—41no—
851C2×D17—41no—
852C2×D17—41no—
853C2×D17—41no—
854C2×D17—41no—
855C4×C17—22no—
856C4×C17—22no—
857C4×C17—41no—
858C4×C17—41no—
859C4×C17—41no—
860C4×C17—41no—
861C4×C17—41no—
862C4×C17—41no—
863C4×C17—41no—
864C4×C17—41no—
865Dic17—22no—
866Dic17—22no—
867Dic17—22no—
868Dic17—22no—
869Dic17—22no—
870Dic17—41no—
871Dic17—41no—
872Dic17—41no—
873Dic17—41no—
874Dic17—41no—
875Dic17—41no—
876Dic17—41no—
877Dic17—41no—
878Dic17—41no—
879Dic17—41no—
880C23×D4C2×D1711yescharacteristic
881C24×C4—171no—
882C24×C4—171no—
883#539—348no—
884C2×#126—171no—
885C2×#126—171no—
886C2×#125—171no—
887C2×#125—171no—
888C2×#123—171no—
889C2×#123—171no—
890C2×#123—171no—
891C2×#123—171no—
892C2×#123C2×D1711yescharacteristic
893C2×#123C2×D1711yescharacteristic
894C2×C22⋊Q8—171no—
895C2×C22⋊Q8—171no—
896C2×C22⋊Q8—171no—
897C2×C22⋊Q8—171no—
898C2×C22⋊Q8—171no—
899C2×#121—171no—
900C2×#121—171no—
901C2×#120—171no—
902C2×#120—171no—
903C2×C4×D4—171no—
904C2×C4×D4—171no—
905C2×C4×D4—171no—
906C2×C4×D4—171no—
907C2×C4×D4—171no—
908C2×C4×D4—171no—
909C2×C4×D4—171no—
910C2×C4×D4—171no—
911C2×C4×D4—171no—
912C2×C4×D4—171no—
913C2×C4×D4—171no—
914C2×C4×D4—348no—
915C22×C4⋊C4—171no—
916C22×C4⋊C4—171no—
917C22×C4⋊C4—171no—
918C22×C22⋊C4—171no—
919C22×C22⋊C4—171no—
920C22×C22⋊C4—171no—
921C22×C22⋊C4C2×D1711yescharacteristic
922C22×C42—171no—
923#400—171no—
924#399—171no—
925#399—171no—
926#399—171no—
927#398—171no—
928#398—171no—
929#398—171no—
930#398—171no—
931#397—171no—
932#397—171no—
933#397—171no—
934#397—171no—
935#397—171no—
936#397—171no—
937#396—171no—
938#396—171no—
939#396—171no—
940#396—171no—
941#395—171no—
942#394—171no—
943#394—171no—
944#394—171no—
945#394—171no—
946#394—171no—
947#394—171no—
948#394C2×D1711yescharacteristic
949#394C2×D1711yescharacteristic
950#394C2×D1711yescharacteristic
951#394C2×D1711yescharacteristic
952#393—171no—
953#392—171no—
954#392—171no—
955#389—171no—
956#389—171no—
957#389—171no—
958#389—171no—
959#388—171no—
960#388—171no—
961#388—171no—
962#388—171no—
963#388—171no—
964#388—171no—
965#388—171no—
966#388—171no—
967#387—171no—
968#387—171no—
969#387—171no—
970#387—171no—
971#387—171no—
972#387—171no—
973#387—171no—
974#387—171no—
975#387—171no—
976#387—171no—
977#386—171no—
978#386—171no—
979#386—171no—
980#386—171no—
981#386—171no—
982#386—171no—
983#386—171no—
984#386—171no—
985#386—171no—
986#386—171no—
987#386—171no—
988#386—171no—
989#386C2×D1711yescharacteristic
990#386C2×D1711yescharacteristic
991#385—171no—
992#385—171no—
993#385—171no—
994#385—171no—
995#385—171no—
996#385—171no—
997#385—171no—
998#385—171no—
999#385—171no—
1000#385—171no—
1001#385—171no—
1002#385—171no—
1003#385—171no—
1004#385—171no—
1005#385—171no—
1006#385—171no—
1007#385—171no—
1008#385—171no—
1009#385—171no—
1010#385—171no—
1011#385—171no—
1012#385—171no—
1013#385—171no—
1014#385—171no—
1015#385C2×D1711yescharacteristic
1016#385C2×D1711yescharacteristic
1017#383—171no—
1018#382—171no—
1019#381—171no—
1020#381—171no—
1021#381—171no—
1022#380—171no—
1023#380—171no—
1024#380—171no—
1025#380—171no—
1026#380—171no—
1027#380—171no—
1028#379—171no—
1029#379C2×D1711yescharacteristic
1030#379C2×D1711yescharacteristic
1031#379C2×D1711yescharacteristic
1032C4×C22⋊C4—171no—
1033C4×C22⋊C4—171no—
1034C4×C22⋊C4—171no—
1035C2×#95—171no—
1036C2×#95—171no—
1037C2×C17—24no—
1038C2×C17—24no—
1039C2×C17—42no—
1040C2×C17—42no—
1041C2×C17—42no—
1042C2×C17C2×#52511yescharacteristic
1043C2×C17C2×#53911yescharacteristic
1044C2×C17#345911yescharacteristic
1045C2×C17#348411yescharacteristic
1046C2×C17#348911yescharacteristic
1047C2×C17#351311yescharacteristic
1048C2×C17#352011yescharacteristic
1049D17—81no—
1050C25C22×D1711yescharacteristic
1051C25C22×D1711yescharacteristic
1052C22×Q8—171no—
1053C22×D4—24no—
1054C22×D4—24no—
1055C22×D4—24no—
1056C22×D4—171no—
1057C22×D4—171no—
1058C22×D4—171no—
1059C22×D4—171no—
1060C22×D4—171no—
1061C22×D4C22×D1711yescharacteristic
1062C22×D4C22×D1711yescharacteristic
1063C22×D4C22×D1711yescharacteristic
1064C22×D4C22×D1711yescharacteristic
1065C23×C4—171no—
1066C23×C4—171no—
1067C23×C4—171no—
1068C23×C4—171no—
1069C23×C4—171no—
1070C23×C4—171no—
1071C23×C4—171no—
1072C23×C4—171no—
1073C23×C4—171no—
1074C23×C4—171no—
1075C23×C4—171no—
1076C23×C4—171no—
1077C23×C4—171no—
1078C23×C4—171no—
1079C23×C4—171no—
1080C23×C4—344no—
1081C23×C4—344no—
1082C23×C4—682no—
1083C23×C4—682no—
1084C23×C4—682no—
1085C23×C4—682no—
1086C23×C4C22×D1711yescharacteristic
1087C23×C4C22×D1711yescharacteristic
1088C23×C4C22×D1711yescharacteristic
1089#126—344no—
1090#126—344no—
1091#125—344no—
1092#125—344no—
1093#123—24no—
1094#123—24no—
1095#123—344no—
1096#123—344no—
1097#123—344no—
1098#123—682no—
1099C22⋊Q8—344no—
1100C22⋊Q8—344no—
1101C22⋊Q8—344no—
1102C22⋊Q8—682no—
1103C22⋊Q8—682no—
1104#121—344no—
1105#121—344no—
1106#120—344no—
1107#120—682no—
1108C4×D4—178no—
1109C4×D4—344no—
1110C4×D4—344no—
1111C4×D4—344no—
1112C4×D4—344no—
1113C4×D4—344no—
1114C4×D4—344no—
1115C4×D4—344no—
1116C4×D4—344no—
1117C4×D4—682no—
1118C4×D4—682no—
1119C2×C4⋊C4—171no—
1120C2×C4⋊C4—171no—
1121C2×C4⋊C4—171no—
1122C2×C4⋊C4—171no—
1123C2×C4⋊C4—171no—
1124C2×C4⋊C4—171no—
1125C2×C4⋊C4—171no—
1126C2×C4⋊C4—171no—
1127C2×C4⋊C4—171no—
1128C2×C4⋊C4—171no—
1129C2×C4⋊C4—171no—
1130C2×C4⋊C4—171no—
1131C2×C4⋊C4—171no—
1132C2×C4⋊C4—171no—
1133C2×C4⋊C4—171no—
1134C2×C4⋊C4—171no—
1135C2×C4⋊C4—171no—
1136C2×C4⋊C4—171no—
1137C2×C4⋊C4—171no—
1138C2×C4⋊C4—171no—
1139C2×C4⋊C4—171no—
1140C2×C4⋊C4—171no—
1141C2×C4⋊C4—171no—
1142C2×C4⋊C4—171no—
1143C2×C4⋊C4—171no—
1144C2×C4⋊C4—171no—
1145C2×C4⋊C4—171no—
1146C2×C4⋊C4—171no—
1147C2×C4⋊C4—171no—
1148C2×C4⋊C4—171no—
1149C2×C4⋊C4—344no—
1150C2×C4⋊C4—344no—
1151C2×C4⋊C4—682no—
1152C2×C4⋊C4C22×D1711yescharacteristic
1153C2×C4⋊C4C22×D1711yescharacteristic
1154C2×C4⋊C4C22×D1711yescharacteristic
1155C2×C4⋊C4C22×D1711yescharacteristic
1156C2×C22⋊C4—24no—
1157C2×C22⋊C4—171no—
1158C2×C22⋊C4—171no—
1159C2×C22⋊C4—171no—
1160C2×C22⋊C4—171no—
1161C2×C22⋊C4—171no—
1162C2×C22⋊C4—171no—
1163C2×C22⋊C4—171no—
1164C2×C22⋊C4—171no—
1165C2×C22⋊C4—171no—
1166C2×C22⋊C4—171no—
1167C2×C22⋊C4—171no—
1168C2×C22⋊C4—171no—
1169C2×C22⋊C4—171no—
1170C2×C22⋊C4—171no—
1171C2×C22⋊C4—171no—
1172C2×C22⋊C4—171no—
1173C2×C22⋊C4—171no—
1174C2×C22⋊C4—171no—
1175C2×C22⋊C4—171no—
1176C2×C22⋊C4—171no—
1177C2×C22⋊C4—171no—
1178C2×C22⋊C4—171no—
1179C2×C22⋊C4—171no—
1180C2×C22⋊C4—171no—
1181C2×C22⋊C4—171no—
1182C2×C22⋊C4—171no—
1183C2×C22⋊C4—171no—
1184C2×C22⋊C4—171no—
1185C2×C22⋊C4—171no—
1186C2×C22⋊C4—171no—
1187C2×C22⋊C4—344no—
1188C2×C22⋊C4—344no—
1189C2×C22⋊C4—682no—
1190C2×C22⋊C4C22×D1711yescharacteristic
1191C2×C22⋊C4C22×D1711yescharacteristic
1192C2×C22⋊C4C22×D1711yescharacteristic
1193C2×C22⋊C4C22×D1711yescharacteristic
1194C2×C22⋊C4C22×D1711yescharacteristic
1195C2×C22⋊C4C22×D1711yescharacteristic
1196C2×C22⋊C4C22×D1711yescharacteristic
1197C2×C22⋊C4C22×D1711yescharacteristic
1198C2×C22⋊C4C22×D1711yescharacteristic
1199C2×C22⋊C4C22×D1711yescharacteristic
1200C2×C22⋊C4C22×D1711yescharacteristic
1201C2×C22⋊C4C22×D1711yescharacteristic
1202C2×C22⋊C4C22×D1711yescharacteristic
1203C2×C22⋊C4C22×D1711yescharacteristic
1204C2×C22⋊C4C22×D1711yescharacteristic
1205C2×C22⋊C4C22×D1711yescharacteristic
1206C2×C22⋊C4C22×D1711yescharacteristic
1207C2×C22⋊C4C22×D1711yescharacteristic
1208C2×C42—171no—
1209C2×C42—171no—
1210C2×C42—171no—
1211C2×C42—171no—
1212C2×C42—171no—
1213C2×C42—171no—
1214C2×C42—171no—
1215C2×C42—344no—
1216#95—171no—
1217#95—171no—
1218#95—171no—
1219#95—171no—
1220#95—171no—
1221#95—171no—
1222#95—171no—
1223#95—171no—
1224#95—171no—
1225#95—171no—
1226#95—171no—
1227#95—171no—
1228#95—171no—
1229#95—171no—
1230#95—171no—
1231#95—171no—
1232#95—171no—
1233#95—171no—
1234#95—171no—
1235#95—171no—
1236#95—171no—
1237#95—171no—
1238#95—171no—
1239#95—171no—
1240#95—171no—
1241#95—171no—
1242#95—171no—
1243#95—171no—
1244#95—171no—
1245#95—171no—
1246#95—171no—
1247#95—171no—
1248#95C22×D1711yescharacteristic
1249#95C22×D1711yescharacteristic
1250#95C22×D1711yescharacteristic
1251#95C22×D1711yescharacteristic
1252C17#3499111yescharacteristic, complemented, Sylow
1253C24—22no—
1254C24—22no—
1255C24—22no—
1256C24—22no—
1257C24—22no—
1258C24—22no—
1259C24—22no—
1260C24—22no—
1261C24—22no—
1262C24—41no—
1263C24—41no—
1264C24—41no—
1265C24—41no—
1266C24—171no—
1267C24#6325414yes—
1268C24C23×D1711yescharacteristic
1269C24C23×D1711yescharacteristic
1270C24C23×D1711yescharacteristic
1271C24C23×D1711yescharacteristic
1272C24C23×D1711yescharacteristic
1273C2×Q8—342no—
1274C2×Q8—681no—
1275C2×Q8—681no—
1276C2×D4—232no—
1277C2×D4—22no—
1278C2×D4—22no—
1279C2×D4—22no—
1280C2×D4—22no—
1281C2×D4—22no—
1282C2×D4—22no—
1283C2×D4—22no—
1284C2×D4—22no—
1285C2×D4—22no—
1286C2×D4—22no—
1287C2×D4—342no—
1288C2×D4—342no—
1289C2×D4—342no—
1290C2×D4—342no—
1291C2×D4—342no—
1292C2×D4—342no—
1293C2×D4—342no—
1294C2×D4—342no—
1295C2×D4—342no—
1296C2×D4—681no—
1297C2×D4—681no—
1298C2×D4—681no—
1299C2×D4—681no—
1300C2×D4—681no—
1301C2×D4—681no—
1302C2×D4D4×D1714yes—
1303C2×D4#6325414yes—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—41no—
1312C22×C4—41no—
1313C22×C4—171no—
1314C22×C4—171no—
1315C22×C4—171no—
1316C22×C4—171no—
1317C22×C4—171no—
1318C22×C4—174no—
1319C22×C4—174no—
1320C22×C4—171no—
1321C22×C4—171no—
1322C22×C4—171no—
1323C22×C4—171no—
1324C22×C4—171no—
1325C22×C4—171no—
1326C22×C4—171no—
1327C22×C4—171no—
1328C22×C4—171no—
1329C22×C4—171no—
1330C22×C4—342no—
1331C22×C4—342no—
1332C22×C4—342no—
1333C22×C4—342no—
1334C22×C4—342no—
1335C22×C4—342no—
1336C22×C4—342no—
1337C22×C4—342no—
1338C22×C4—342no—
1339C22×C4—342no—
1340C22×C4—342no—
1341C22×C4—342no—
1342C22×C4—342no—
1343C22×C4—342no—
1344C22×C4—342no—
1345C22×C4—342no—
1346C22×C4—342no—
1347C22×C4—342no—
1348C22×C4—342no—
1349C22×C4—342no—
1350C22×C4—342no—
1351C22×C4—342no—
1352C22×C4—681no—
1353C22×C4—681no—
1354C22×C4—681no—
1355C22×C4—681no—
1356C22×C4—681no—
1357C22×C4—681no—
1358C22×C4—681no—
1359C22×C4—681no—
1360C22×C4—681no—
1361C22×C4—681no—
1362C22×C4—681no—
1363C22×C4—681no—
1364C22×C4—681no—
1365C22×C4—681no—
1366C22×C4—681no—
1367C22×C4—681no—
1368C22×C4—681no—
1369C22×C4—681no—
1370C22×C4—681no—
1371C22×C4—681no—
1372C22×C4—681no—
1373C22×C4—6816no—
1374C22×C4—6816no—
1375C22×C4C23×D1711yescharacteristic
1376C22×C4C23×D1711yescharacteristic
1377C22×C4C23×D1711yescharacteristic
1378C22×C4C23×D1711yescharacteristic
1379C22×C4C23×D1711yescharacteristic
1380C22×C4C23×D1711yescharacteristic
1381C22×C4C23×D1711yescharacteristic
1382C22×C4C23×D1711yescharacteristic
1383C22×C4C23×D1711yescharacteristic
1384C22×C4C23×D1711yescharacteristic
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—22no—
1388C4⋊C4—22no—
1389C4⋊C4—174no—
1390C4⋊C4—342no—
1391C4⋊C4—342no—
1392C4⋊C4—342no—
1393C4⋊C4—342no—
1394C4⋊C4—342no—
1395C4⋊C4—342no—
1396C4⋊C4—342no—
1397C4⋊C4—342no—
1398C4⋊C4—342no—
1399C4⋊C4—342no—
1400C4⋊C4—342no—
1401C4⋊C4—342no—
1402C4⋊C4—342no—
1403C4⋊C4—342no—
1404C4⋊C4—342no—
1405C4⋊C4—342no—
1406C4⋊C4—342no—
1407C4⋊C4—342no—
1408C4⋊C4—681no—
1409C4⋊C4—681no—
1410C4⋊C4—681no—
1411C4⋊C4—681no—
1412C4⋊C4—681no—
1413C4⋊C4—681no—
1414C4⋊C4—681no—
1415C4⋊C4—681no—
1416C4⋊C4—681no—
1417C4⋊C4—681no—
1418C4⋊C4—681no—
1419C22⋊C4—22no—
1420C22⋊C4—22no—
1421C22⋊C4—22no—
1422C22⋊C4—22no—
1423C22⋊C4—22no—
1424C22⋊C4—22no—
1425C22⋊C4—22no—
1426C22⋊C4—22no—
1427C22⋊C4—22no—
1428C22⋊C4—22no—
1429C22⋊C4—22no—
1430C22⋊C4—22no—
1431C22⋊C4—41no—
1432C22⋊C4—41no—
1433C22⋊C4—41no—
1434C22⋊C4—41no—
1435C22⋊C4—41no—
1436C22⋊C4—41no—
1437C22⋊C4—174no—
1438C22⋊C4—174no—
1439C22⋊C4—342no—
1440C22⋊C4—342no—
1441C22⋊C4—342no—
1442C22⋊C4—342no—
1443C22⋊C4—342no—
1444C22⋊C4—342no—
1445C22⋊C4—342no—
1446C22⋊C4—342no—
1447C22⋊C4—342no—
1448C22⋊C4—342no—
1449C22⋊C4—342no—
1450C22⋊C4—342no—
1451C22⋊C4—342no—
1452C22⋊C4—342no—
1453C22⋊C4—342no—
1454C22⋊C4—342no—
1455C22⋊C4—342no—
1456C22⋊C4—342no—
1457C22⋊C4—342no—
1458C22⋊C4—681no—
1459C22⋊C4—681no—
1460C22⋊C4—681no—
1461C22⋊C4—681no—
1462C22⋊C4—681no—
1463C22⋊C4—681no—
1464C22⋊C4—681no—
1465C22⋊C4—681no—
1466C22⋊C4—681no—
1467C42—174no—
1468C42—342no—
1469C42—342no—
1470C42—342no—
1471C42—342no—
1472C42—681no—
1473C42—681no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—28no—
1483C23—28no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—28no—
1503C23—44no—
1504C23—44no—
1505C23—44no—
1506C23—44no—
1507C23—44no—
1508C23—44no—
1509C23—44no—
1510C23—44no—
1511C23—44no—
1512C23—44no—
1513C23—44no—
1514C23—341no—
1515C23—341no—
1516C23—341no—
1517C23—341no—
1518C23—341no—
1519C23—341no—
1520C23—341no—
1521C23C2×D4×D1712yes—
1522C23C2×D4×D1712yes—
1523C23C2×#6325412yes—
1524C23C2×#6325412yes—
1525C23C2×#6325412yes—
1526C23C2×#6325412yes—
1527C23C2×#6325412yes—
1528C23#1058769612yes—
1529C23#1058769712yes—
1530C23C24×D1711yescharacteristic
1531Q8—1362no—
1532D4—28no—
1533D4—28no—
1534D4—28no—
1535D4—28no—
1536D4—684no—
1537D4—684no—
1538D4—684no—
1539D4—1362no—
1540D4—1362no—
1541C2×C4—28no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—44no—
1571C2×C4—44no—
1572C2×C4—172no—
1573C2×C4—172no—
1574C2×C4—172no—
1575C2×C4—172no—
1576C2×C4—172no—
1577C2×C4—348no—
1578C2×C4—341no—
1579C2×C4—341no—
1580C2×C4—341no—
1581C2×C4—341no—
1582C2×C4—341no—
1583C2×C4—341no—
1584C2×C4—341no—
1585C2×C4—341no—
1586C2×C4—341no—
1587C2×C4—341no—
1588C2×C4—341no—
1589C2×C4—341no—
1590C2×C4—341no—
1591C2×C4—341no—
1592C2×C4—341no—
1593C2×C4—341no—
1594C2×C4—341no—
1595C2×C4—341no—
1596C2×C4—341no—
1597C2×C4—341no—
1598C2×C4—341no—
1599C2×C4—341no—
1600C2×C4—341no—
1601C2×C4—341no—
1602C2×C4—341no—
1603C2×C4—341no—
1604C2×C4—341no—
1605C2×C4—341no—
1606C2×C4—341no—
1607C2×C4—341no—
1608C2×C4—341no—
1609C2×C4—341no—
1610C2×C4—341no—
1611C2×C4—341no—
1612C2×C4—341no—
1613C2×C4—341no—
1614C2×C4—341no—
1615C2×C4—341no—
1616C2×C4—341no—
1617C2×C4—341no—
1618C2×C4—684no—
1619C2×C4—684no—
1620C2×C4—684no—
1621C2×C4—684no—
1622C2×C4—684no—
1623C2×C4—684no—
1624C2×C4—684no—
1625C2×C4—684no—
1626C2×C4—684no—
1627C2×C4—684no—
1628C2×C4—684no—
1629C2×C4—1362no—
1630C2×C4—1362no—
1631C2×C4—1362no—
1632C2×C4C2×D4×D1712yes—
1633C2×C4C2×#6325412yes—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—22no—
1642C22—22no—
1643C22—22no—
1644C22—22no—
1645C22—22no—
1646C22—22no—
1647C22—22no—
1648C22—22no—
1649C22—22no—
1650C22—22no—
1651C22—22no—
1652C22—22no—
1653C22—22no—
1654C22—22no—
1655C22—416no—
1656C22—416no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—681no—
1670C22—681no—
1671C22—681no—
1672C22—681no—
1673C22—681no—
1674C22—681no—
1675C22—681no—
1676C22#1176331514yes—
1677C22#1176340314yescomplemented
1678C22C22×D4×D1711yescharacteristic
1679C22C22×#6325411yescharacteristic
1680C22C22×#6325411yescharacteristic
1681C22H(5,𝔽2)×D1711yescharacteristic
1682C22C2×#1058769611yescharacteristic
1683C22C2×#1058769711yescharacteristic
1684C22#1176364411yescharacteristic
1685C4—22no—
1686C4—22no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—342no—
1696C4—342no—
1697C4—342no—
1698C4—342no—
1699C4—342no—
1700C4—681no—
1701C4—681no—
1702C4—681no—
1703C4—681no—
1704C4—681no—
1705C4—681no—
1706C4—681no—
1707C4—681no—
1708C4—681no—
1709C4—681no—
1710C2—24no—
1711C2—24no—
1712C2—42no—
1713C2—42no—
1714C2—42no—
1715C2—1361no—
1716C2C2×#1176331511yescharacteristic
1717C2C2×#1176340311yescharacteristic
1718C2#1454219011yescharacteristic
1719C2#1454241411yescharacteristic
1720C2#1454245511yescharacteristic
1721C2#1454272511yescharacteristic
1722C2#1454282011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutator, socle, cosocleC23×C17C25
FittingC17×#2405C2
prime radical#14532158C2
hypercenter#2405D17
hypocenterC17#34991
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2405

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C2×#11763403C2semidirect
2. C22×D4×Dic17C2semidirect
3. #14537101C2semidirect
4. #14537090C2semidirect
5. #14537078C2semidirect
6. #14537069C2semidirect
7. #14534700C2semidirect
8. #14534680C2semidirect
9. #14534651C2semidirect
10. #14534622C2semidirect
11. #14533029C2semidirect
12. #14532924C2semidirect
13. #14532815C2semidirect
14. #14532776C2semidirect
15. #14532731C2semidirect
16. #14532662C2semidirect
17. #14532599C2semidirect
18. #14532591C2semidirect
19. #14532517C2semidirect
20. #14532450C2semidirect
21. #14532339C2semidirect
22. #14532257C2semidirect
23. #14532250C2semidirect
24. #14532180C2semidirect
26. #14531485C2semidirect
27. #14531456C2semidirect
28. #14531410C2semidirect
29. #14531283C2semidirect
30. C2×#11762684C2semidirect
31. C17×#2405C2semidirect
35. C2×#10587584C22semidirect
36. C2×#10587565C22semidirect
37. C2×#10587576C22semidirect
38. C2×#10587575C22semidirect
39. C2×#10587572C22semidirect
40. C2×#10587572C22semidirect
41. C2×#10587615C22semidirect
42. C2×#10587569C22semidirect
43. C2×#10587583C22semidirect
45. C2×#10587564C22semidirect
46. C2×#10587564C22semidirect
47. C2×#10587564C22semidirect
62. C2×#10587567C22semidirect
63. C2×#10587567C22semidirect
65. C22×C4⋊Dic17C22semidirect
66. C22×C4⋊Dic17C22semidirect
71. #11762748C22semidirect
72. #11762746C22semidirect
73. #11762745C22semidirect
74. #11762745C22semidirect
75. #11762742C22semidirect
76. #11762741C22semidirect
77. #11762741C22semidirect
78. #11762739C22semidirect
79. #11762737C22semidirect
80. #11762737C22semidirect
81. #11762737C22semidirect
82. #11762737C22semidirect
83. #11762737C22semidirect
84. #11762734C22semidirect
85. #11762732C22semidirect
86. #11762732C22semidirect
87. #11762732C22semidirect
88. #11762731C22semidirect
89. #11762730C22semidirect
90. #11762725C22semidirect
91. #11762724C22semidirect
92. #11762724C22semidirect
93. #11762724C22semidirect
96. #11762721C22semidirect
99. #11762708C22semidirect
100. #11762708C22semidirect
101. #11762706C22semidirect
102. #11762704C22semidirect
103. #11762703C22semidirect
104. #11762703C22semidirect
105. #11762702C22semidirect
106. #11762702C22semidirect
107. #11762701C22semidirect
108. #11762699C22semidirect
109. #11762698C22semidirect
110. #11762697C22semidirect
111. #11762696C22semidirect
112. #11762695C22semidirect
113. #11762695C22semidirect
114. #11762694C22semidirect
115. #11762694C22semidirect
116. #11762692C22semidirect
117. #11762692C22semidirect
118. #11762691C22semidirect
119. #11762690C22semidirect
120. #11762690C22semidirect
124. #11762688C22semidirect
128. #11762686C22semidirect
129. #11762686C22semidirect
130. #11762686C22semidirect
131. #11762686C22semidirect
132. #11762685C22semidirect
138. #11762684C22semidirect
139. #11762684C22semidirect
140. #11762684C22semidirect
141. #11762684C22semidirect
142. #11762684C22semidirect
143. #11762684C22semidirect
144. #11762684C22semidirect
145. #11762684C22semidirect
146. #11762684C22semidirect
147. #11762683C22semidirect
149. #11762682C22semidirect
152. #11762681C22semidirect
153. #11762681C22semidirect
154. #11762681C22semidirect
155. #11762681C22semidirect
156. #11762681C22semidirect
157. #11762676C22semidirect
158. #11762673C22semidirect
159. #11762672C22semidirect
160. #11762670C22semidirect
161. #11762670C22semidirect
165. #11762667C22semidirect
166. #11762667C22semidirect
167. #11762667C22semidirect
170. C22⋊C4×Dic17C22semidirect
171. C22⋊C4×Dic17C22semidirect
172. C2×#10587502C22semidirect
173. C2×#10587502C22semidirect
288. D4×Dic17D4semidirect
798. #2405D17semidirect
840. C22×C17#539semidirect
1252. C17#34991semidirect
1677. C22#11763403semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C2×#117634032
C22×D4×Dic172
#145371012
#145370902
#145370782
#145370692
#145347002
#145346802
#145346512
#145346222
#145330292
#145329242
#145328152
#145327762
#145327312
#145326622
#145325992
#145325912
#145325172
#145324502
#145323392
#145322572
#145322502
#145321802
#145321582
#145314852
#145314562
#145314102
#145312832
C2×#117626842
C17×#24052
#3499117